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Finding the Third Proportional to 719,684 and 1,539,013

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Solution

The third proportional to 719,684 and 1,539,013 is: 3,291,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    719,684 : 1,539,013 = 1,539,013 : x
  2. Step 2: Convert to fraction form
    719,684/1,539,013 = 1,539,013/x
  3. Step 3: Cross multiply
    719,684x = 1,539,013 × 1,539,013
  4. Step 4: Simplify right side
    719,684x = 2,368,561,014,169
  5. Step 5: Solve for x
    x = 2,368,561,014,169/719,684
  6. Step 6: Final answer
    x = 3,291,112.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.